{"type":"preprint","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2405.16648","open_access":"1"}],"abstract":[{"lang":"eng","text":"By developing a suitable version of the circle method, we show that the space of degree e rational curves on a smooth hypersurface of degree d has only canonical singularities provided its dimension is sufficiently large with respect to e and d."}],"_id":"18295","author":[{"id":"d6423cba-dc74-11ea-a0a7-ee61689ff5fb","first_name":"Jakob","full_name":"Glas, Jakob","last_name":"Glas"}],"user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","year":"2024","publication":"arXiv","oa_version":"Preprint","tmp":{"short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png"},"date_published":"2024-05-26T00:00:00Z","status":"public","title":"Canonical singularities on moduli spaces of rational curves via the  circle method","language":[{"iso":"eng"}],"doi":"10.48550/arXiv.2405.16648","date_updated":"2025-04-15T08:05:40Z","oa":1,"date_created":"2024-10-10T13:15:43Z","arxiv":1,"OA_place":"repository","project":[{"name":"Rational curves via function field analytic number theory","_id":"bd8a4fdc-d553-11ed-ba76-80a0167441a3","grant_number":"P36278"}],"corr_author":"1","department":[{"_id":"TiBr"}],"day":"26","external_id":{"arxiv":["2405.16648"]},"publication_status":"submitted","related_material":{"record":[{"relation":"dissertation_contains","status":"public","id":"18132"},{"status":"public","relation":"later_version","id":"19013"}]},"citation":{"mla":"Glas, Jakob. “Canonical Singularities on Moduli Spaces of Rational Curves via the  Circle Method.” <i>ArXiv</i>, doi:<a href=\"https://doi.org/10.48550/arXiv.2405.16648\">10.48550/arXiv.2405.16648</a>.","chicago":"Glas, Jakob. “Canonical Singularities on Moduli Spaces of Rational Curves via the  Circle Method.” <i>ArXiv</i>, n.d. <a href=\"https://doi.org/10.48550/arXiv.2405.16648\">https://doi.org/10.48550/arXiv.2405.16648</a>.","ista":"Glas J. Canonical singularities on moduli spaces of rational curves via the  circle method. arXiv, <a href=\"https://doi.org/10.48550/arXiv.2405.16648\">10.48550/arXiv.2405.16648</a>.","ieee":"J. Glas, “Canonical singularities on moduli spaces of rational curves via the  circle method,” <i>arXiv</i>. .","short":"J. Glas, ArXiv (n.d.).","ama":"Glas J. Canonical singularities on moduli spaces of rational curves via the  circle method. <i>arXiv</i>. doi:<a href=\"https://doi.org/10.48550/arXiv.2405.16648\">10.48550/arXiv.2405.16648</a>","apa":"Glas, J. (n.d.). Canonical singularities on moduli spaces of rational curves via the  circle method. <i>arXiv</i>. <a href=\"https://doi.org/10.48550/arXiv.2405.16648\">https://doi.org/10.48550/arXiv.2405.16648</a>"},"month":"05","article_processing_charge":"No"}